Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces

DOI10.1186/1687-1812-2012-17zbMath1273.54046OpenAlexW2170425002WikidataQ59271283 ScholiaQ59271283MaRDI QIDQ367408

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 16 September 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-17

zbMATH Keywords

fixed point theorycyclic weaker \((\boldsymbol\phi,\phi)\)-contractionweaker Meir-Keeler function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (16)

Study of Fixed Point Theorem and Infinite Systems of Integral Equations ⋮ A solution to nonlinear Fredholm integral equations in the context of \(w\)-distances ⋮ Application measure of noncompactness and operator type contraction for solvability of an infinite system of differential equations in lp-space ⋮ An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via \(wt\)-distance with an application ⋮ Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic \((\varphi,\psi,\theta)\)-contraction ⋮ Unnamed Item ⋮ Fixed point theorems for cyclic contractions in S-metric spaces involving C-class function ⋮ Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces ⋮ Fixed point theorems of generalized cyclic orbital Meir-Keeler contractions ⋮ Fixed point theorem for cyclic Chatterjea type contractions ⋮ Implicit-relation-type cyclic contractive mappings and applications to integral equations ⋮ Some fixed point theorems using weaker Meir-Keeler function in metric spaces with \(w\)-distance ⋮ Fixed point theorems for cyclic self-maps involving weaker Meir-Keeler functions in complete metric spaces and applications ⋮ SOME FIXED POINT THEOREMS VIA CYCLIC CONTRACTIVE CONDITIONS IN S-METRIC SPACES ⋮ Unnamed Item ⋮ Common fixed points of generalized cyclic Meir-Keeler-type contractions in partially ordered metric spaces

Cites Work

• Fixed point theory for cyclic \((\phi - \varPsi)\)-contractions
• Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces
• Fixed point theory for cyclic weak \(\phi\)-contraction
• A theorem on contraction mappings
• On Nonlinear Contractions
• Unnamed Item
• Unnamed Item
• Unnamed Item

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